2.1-2.4 Flashcards Preview

AP calculus > 2.1-2.4 > Flashcards

Flashcards in 2.1-2.4 Deck (13)
Loading flashcards...
0

y=sin x
y'=?

cos x

1

y=cos x
y'=?

-sin x

2

y=tan x
y'=?

sec^2 x

3

y=csc x
y'=?

-csc x

4

y= sec x
y'=?

sec x tan x

5

y= cot x
y'=?

-csc^2 x

6

Average velocity=?

Change in distance/change in time
Y2-y1/t2-t1

7

Position of free falling object neglecting air resistance

S(t)=(1/2)gt^2+Vo t+ So

8

S(t)=(1/2)gt^2+Vo t+So

S(t)= height at any time t
G=gravity constant -32ft/sec^2
Vo= initial velocity(when t=0)
So=initial position (height when t=0)

9

Product rule

D/dx[f(x)g(x)]=f(x)g'(x)+g(x)f'(x)

10

Quotient rule

D[f(x)/g(x)]/dx= g(x)f'(x)-f(x)g'(x)/g(x))^2

11

Chain rule

D[f(g(x))]/dx=f'(g(x))g'(x)

12

Chain rule
y=f(u)
U=g(x)
Then y=f(g(x))

Dy/dx=dy/du • du/dx